Distance between points (-4, 2) and (-4, -4)

Given Coordinates: x₁ = -4  y₁ = 2,  x₂ = -4  y₂ = -4
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-4 − (-4))² + (-4 − 2)²
d = √(-4 + 4)² + (-4 − 2)²
d = √0² + (-6)²
d = √0 + 36
d = √36
d = 6
Therefore, the distance between the points (-4, 2) and (-4, -4) is equal to 6
Note: Since x₁ = x₂, the distance between (-4, 2) and (-4, -4) is equal to the absolute value of the difference between y₂ (-4) and y₁ (2), d = |-4 − 2| = 6